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198131065216 = 277892484589
BaseRepresentation
bin1011100010000110001…
…0000010000110000000
3200221102002112221221121
42320201202002012000
511221233023041331
6231004204202024
720212605160360
oct2704142020600
9627362487847
10198131065216
11770329038a7
1232495839314
13158b70743c6
149837bc29a0
155249350c11
hex2e21882180

198131065216 has 64 divisors (see below), whose sum is σ = 456170724000. Its totient is φ = 83959197696.

The previous prime is 198131065211. The next prime is 198131065217. The reversal of 198131065216 is 612560131891.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×1981310652163 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198131065211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1162551 + ... + 1322038.

Almost surely, 2198131065216 is an apocalyptic number.

198131065216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

198131065216 is an abundant number, since it is smaller than the sum of its proper divisors (258039658784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

198131065216 is an equidigital number, since it uses as much as digits as its factorization.

198131065216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484699 (or 2484687 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 43.

The spelling of 198131065216 in words is "one hundred ninety-eight billion, one hundred thirty-one million, sixty-five thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 89 112 128 178 224 356 448 623 712 896 1246 1424 2492 2848 4984 5696 9968 11392 19936 39872 79744 2484589 4969178 9938356 17392123 19876712 34784246 39753424 69568492 79506848 139136984 159013696 221128421 278273968 318027392 442256842 556547936 884513684 1113095872 1547898947 1769027368 2226191744 3095797894 3538054736 6191595788 7076109472 12383191576 14152218944 24766383152 28304437888 49532766304 99065532608 198131065216